45754272 has 72 divisors (see below), whose sum is σ = 131826240. Its totient is φ = 15050880.

The previous prime is 45754271. The next prime is 45754273. The reversal of 45754272 is 27245754.

It is a happy number.

45754272 is a `hidden beast` number, since 45 + 7 + 542 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (45754271) and next prime (45754273).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45754271) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21747 + ... + 23757.

It is an arithmetic number, because the mean of its divisors is an integer number (1830920).

Almost surely, 2^45754272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45754272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65913120).

45754272 is an abundant number, since it is smaller than the sum of its proper divisors (86071968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45754272 is a wasteful number, since it uses less digits than its factorization.

45754272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2095 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 45754272 is about 6764.1904171896. The cubic root of 45754272 is about 357.6656366463.

The spelling of 45754272 in words is "forty-five million, seven hundred fifty-four thousand, two hundred seventy-two".